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حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19471925
پدیدآورB. L. WelchRonald A. Fisher
نوعParametric mean comparison (unequal variances)Parametric mean comparison
منبع بنیادینWelch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35. DOI ↗Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗
نام‌های دیگرunequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA
مرتبط44
خلاصهWelch's t-test is a parametric hypothesis test that compares the means of two independent groups without assuming their variances are equal. It was introduced by B. L. Welch in 1947 as a more robust generalization of Student's two-sample test for situations where the two groups have different spread.One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925.
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ScholarGateمقایسهٔ روش‌ها: Welch t-test · One-way ANOVA. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare